12772629 has 12 divisors (see below), whose sum is σ = 18798156. Its totient is φ = 8354112.

The previous prime is 12772619. The next prime is 12772633. The reversal of 12772629 is 92627721.

12772629 is a `hidden beast` number, since 1 + 27 + 7 + 2 + 629 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5336100 + 7436529 = 2310^2 + 2727^2 .

It is not a de Polignac number, because 12772629 - 2⁵ = 12772597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12772593 and 12772602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12772619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12912 + ... + 13865.

It is an arithmetic number, because the mean of its divisors is an integer number (1566513).

Almost surely, 2^12772629 is an apocalyptic number.

It is an amenable number.

12772629 is a deficient number, since it is larger than the sum of its proper divisors (6025527).

12772629 is a wasteful number, since it uses less digits than its factorization.

12772629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26836 (or 26833 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 12772629 is about 3573.8815033518. The cubic root of 12772629 is about 233.7545640486.

It can be divided in two parts, 12 and 772629, that added together give a square (772641 = 879²).

The spelling of 12772629 in words is "twelve million, seven hundred seventy-two thousand, six hundred twenty-nine".